Weak and strong convergence of a scheme with errors for two nonexpansive mappings

In this paper, we are concerned with the study of an iterative scheme with errors involving two nonexpansive mappings. We approximate the common fixed points of these two mappings by weak and strong convergence of the scheme in a uniformly convex Banach space under a condition weaker than compactnes...

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Bibliographic Details
Published in:Nonlinear analysis 2005-06, Vol.61 (8), p.1295-1301
Main Authors: Khan, Safeer Hussain, Fukhar-ud-din, Hafiz
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Common fixed point
Condition ( [formula omitted])
Exact sciences and technology
Iterative scheme with errors
Mathematical analysis
Mathematics
Nonexpansive mapping
Operator theory
Sciences and techniques of general use
Weak and strong convergence
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Summary:In this paper, we are concerned with the study of an iterative scheme with errors involving two nonexpansive mappings. We approximate the common fixed points of these two mappings by weak and strong convergence of the scheme in a uniformly convex Banach space under a condition weaker than compactness.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2005.01.081